Question

What is the maximum number of relative extrema contained in the graph of this function?

f(x)=3x^5-x^3+4x-2

Answer 1

4

Explanation:

Answer 2

the graph of this function has no local extrema

Explanation:

A 5th-degree polynomial graph will have a maximum of 4 local extrema, in general. However, this function has none. The derivative of this function is positive everywhere, so there are no extrema.